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Finding the Fourth Proportional to 278.37, 417.60 and 257.76

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Solution

The fourth proportional to 278.37, 417.60 and 257.76 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.37 : 417.60 = 257.76 : x
  2. Step 2: Convert to fraction form
    278.37/417.60 = 257.76/x
  3. Step 3: Cross multiply
    278.37x = 417.60 × 257.76
  4. Step 4: Simplify right side
    278.37x = 107,640.58
  5. Step 5: Solve for x
    x = 107,640.58/278.37
  6. Step 6: Final answer
    x = 386.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.